GCD of 38, 130, 485, 533 Calculator

Given Input numbers are 38, 130, 485, 533

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 38

List of positive integer divisors of 38 that divides 38 without a remainder.

1, 2, 19, 38

Divisors of 130

List of positive integer divisors of 130 that divides 130 without a remainder.

1, 2, 5, 10, 13, 26, 65, 130

Divisors of 485

List of positive integer divisors of 485 that divides 485 without a remainder.

1, 5, 97, 485

Divisors of 533

List of positive integer divisors of 533 that divides 533 without a remainder.

1, 13, 41, 533

Greatest Common Divisior

We found the divisors of 38, 130, 485, 533 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 38, 130, 485, 533 is 1.

Therefore, GCD of numbers 38, 130, 485, 533 is 1

Given Input Data is 38, 130, 485, 533

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 38 is 2 x 19

Prime Factorization of 130 is 2 x 5 x 13

Prime Factorization of 485 is 5 x 97

Prime Factorization of 533 is 13 x 41

The above numbers do not have any common prime factor. So GCD is 1

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(38, 130) = 2470

GCD(38, 130) = ( 38 x 130 ) / 2470

GCD(38, 130) = 4940 / 2470

GCD(38, 130) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 485

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(2, 485) = 970

GCD(2, 485) = ( 2 x 485 ) / 970

GCD(2, 485) = 970 / 970

GCD(2, 485) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 533

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 533) = 533

GCD(1, 533) = ( 1 x 533 ) / 533

GCD(1, 533) = 533 / 533

GCD(1, 533) = 1

GCD of 38, 130, 485, 533 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 37, 125, 640, 865
• GCD of 75, 574, 214, 427
• GCD of 72, 580, 672, 997
• GCD of 62, 119, 764, 111
• GCD of 65, 730, 127, 965

1. What is the GCD of 38, 130, 485, 533?

GCD of 38, 130, 485, 533 is 1

2. Where do I get the detailed procedure to find GCD of 38, 130, 485, 533?

You can find a detailed procedure to find GCD of 38, 130, 485, 533 on our page.

3. How to find GCD of 38, 130, 485, 533 on a calculator?

You can find the GCD of 38, 130, 485, 533 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.